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Simplifying s2 + -11sd + 28d2 = 0 Reorder the terms: -11ds + 28d2 + s2 = 0 Solving -11ds + 28d2 + s2 = 0 Solving for variable 'd'. Factor a trinomial. (4d + -1s)(7d + -1s) = 0Subproblem 1
Set the factor '(4d + -1s)' equal to zero and attempt to solve: Simplifying 4d + -1s = 0 Solving 4d + -1s = 0 Move all terms containing d to the left, all other terms to the right. Add 's' to each side of the equation. 4d + -1s + s = 0 + s Combine like terms: -1s + s = 0 4d + 0 = 0 + s 4d = 0 + s Remove the zero: 4d = s Divide each side by '4'. d = 0.25s Simplifying d = 0.25sSubproblem 2
Set the factor '(7d + -1s)' equal to zero and attempt to solve: Simplifying 7d + -1s = 0 Solving 7d + -1s = 0 Move all terms containing d to the left, all other terms to the right. Add 's' to each side of the equation. 7d + -1s + s = 0 + s Combine like terms: -1s + s = 0 7d + 0 = 0 + s 7d = 0 + s Remove the zero: 7d = s Divide each side by '7'. d = 0.1428571429s Simplifying d = 0.1428571429sSolution
d = {0.25s, 0.1428571429s}
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